Cooperativity and spatial correlations near the glass transition: Computer simulation results for hard spheres and disks

被引:170
作者
Doliwa, B [1 ]
Heuer, A [1 ]
机构
[1] Max Planck Inst Polymerforsch, D-55021 Mainz, Germany
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 06期
关键词
D O I
10.1103/PhysRevE.61.6898
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We examine the dynamics of hard spheres and disks at high packing fractions in two and three dimensions, modeling the simplest systems exhibiting a glass transition. As it is well known, cooperativity and dynamic heterogeneity arise as central features when approaching the glass transition from the liquid phase, so an understanding of their underlying physics is of great interest. Cooperativity implies a reduction of the effective degrees of freedom, and we demonstrate a simple way of quantification in terms of the strength and the length scale of dynamic correlations among different particles. These correlations are obtained for different dynamical quantities X-i(t) that an constructed from single-particle displacements during some observation time t. Of particular interest is the dependence on t. Interestingly, for appropriately chosen X-i(t) we obtain finite cooperativity in the limit t-->infinity.
引用
收藏
页码:6898 / 6908
页数:11
相关论文
共 19 条
  • [1] DECAY OF VELOCITY AUTOCORRELATION FUNCTION
    ALDER, BJ
    WAINWRIGHT, TE
    [J]. PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 1 (01): : 18 - +
  • [2] Growing range of correlated motion in a polymer melt on cooling towards the glass transition
    Bennemann, C
    Donati, C
    Baschnagel, J
    Glotzer, SC
    [J]. NATURE, 1999, 399 (6733) : 246 - 249
  • [3] The origin of anomalous diffusion and non-Gaussian effects for hard spheres: analysis of three-time correlations
    Doliwa, B
    Heuer, A
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1999, 11 (10A) : A277 - A283
  • [4] Cage effect, local anisotropies, and dynamic heterogeneities at the glass transition: A computer study of hard spheres
    Doliwa, B
    Heuer, A
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (22) : 4915 - 4918
  • [5] Spatial correlations of mobility and immobility in a glass-forming Lennard-Jones liquid
    Donati, C
    Glotzer, SC
    Poole, PH
    Kob, W
    Plimpton, SJ
    [J]. PHYSICAL REVIEW E, 1999, 60 (03) : 3107 - 3119
  • [6] Growing spatial correlations of particle displacements in a simulated liquid on cooling toward the glass transition
    Donati, C
    Glotzer, SC
    Poole, PH
    [J]. PHYSICAL REVIEW LETTERS, 1999, 82 (25) : 5064 - 5067
  • [7] On dynamical correlations in supercooled liquids
    Franz, S
    Donati, C
    Parisi, G
    Glotzer, SC
    [J]. PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1999, 79 (11-12): : 1827 - 1831
  • [8] Asymptotic laws for tagged-particle motion in glassy systems
    Fuchs, M
    Gotze, W
    Mayr, MR
    [J]. PHYSICAL REVIEW E, 1998, 58 (03): : 3384 - 3399
  • [9] How does the relaxation of a supercooled liquid depend on its microscopic dynamics?
    Gleim, T
    Kob, W
    Binder, K
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (20) : 4404 - 4407
  • [10] Time-dependent, four-point density correlation function description of dynamical heterogeneity and decoupling in supercooled liquids
    Glotzer, SC
    Novikov, VN
    Schroder, TB
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2000, 112 (02) : 509 - 512